周期脉冲效应下一个捕食-食铒系统的灭绝与持续生存

Extinction and permanence of a predator-prey system with periodic impulsive effect

研究在周期脉冲效应下的一个捕食-食铒系统.首先给出两个食饵种群灭绝的相关解的存在性和全局吸引性,然后利用比较原理及Lyapunov函数建立该系统的灭绝和持续生存的充分性条件,最后利用微分不等式及其分析方法给出充分性的证明.

A predator-prey system with periodic impulsive effect is discussed. First we assume the existence and global attractability of the relevant solution of two prey species extinction, and then establish the sufficient conditions of both extinction and continuous existence of this system using the comparison principle and a gyapunov function. And finally, we prove the sufficiency of it using differential inequality and its analysis methods.